Small intercepted ditetrahedronary prismatodishecatonicosachoron

Small intercepted ditetrahedronary prismatodishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Sand tapady
Elements
Cells	120 sidtid, 720 pip, 120 srid
Faces	2400 triangles, 3600 squares, 1440 pentagons, 720 pentagrams
Edges	3600
Vertices	600
Measures (edge length 1)
Circumradius	$\frac{\sqrt2+\sqrt{10}}{2} \approx 2.28825$
Related polytopes
Army	Hi
Regiment	Sidtaxhi
Conjugate	Gand tapady
Abstract & topological properties
Flag count	129600
Euler characteristic	4200
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small intercepted ditetrahedronary prismatodishecatonicosachoron, or sand tapady, is a nonconvex uniform polychoron that consists of 120 small ditrigonary icosidodecahedra, 720 pentagonal prisms, and 120 small rhombicosidodecahedra. Four small ditrigonary icosidodecahedra, twelve pentagonal prisms, and twelve small rhombicosidodecahedra join at each vertex.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the small ditetrahedronary hexacosihecatonicosachoron.

External links

• Bowers, Jonathan. "Category 18: Ditetrahedrals" (#791).